Question

On a coordinate grid, your campsite is located at (3, – 5), and the next checkpoint station is located at (–10, 1). Each unit in the coordinate plane represents 2.15 miles. Find the distance you have to hike to reach the next checkpoint station. A. about 30.8 miles B. about 17.3 miles C. about 8.1 miles D. about 14.3 miles

Answer 1

Answer: A. about 30.8 miles

The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6

The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= √(169+36)= √205
c=14.32

If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles